A Quantum Anomaly For Rigid Particles

Details A Quantum Anomaly For Rigid Particles A Quantum Anomaly For Rigid Particles

1992-07-21

arxiv.org/abs/hep-th/9207068v2

Phys.Lett. B293 (1992) 327-334

Physics

High Energy Physics

High Energy Physics - Theory

(replaces previous unpritable version corrupted mailer) 12 pages (Plain TeX), DTP-92/37

Scientific paper

10.1016/0370-2693(92)90891-7

Canonical quantisation of rigid particles is considered paying special attention to the restriction on phase space due to causal propagation. A mixed Lorentz-gravitational anomaly is found in the commutator of Lorentz boosts with world-line reparametrisations. The subspace of gauge invariant physical states is therefore not invariant under Lorentz transformations. The analysis applies for an arbitrary extrinsic curvature dependence with the exception of only one case to be studied separately. Consequences for rigid strings are also discussed.

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